What is the Least Common Multiple of 30708 and 30725?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 30708 and 30725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30708 and 30725, than apply into the LCM equation.

GCF(30708,30725) = 1
LCM(30708,30725) = ( 30708 × 30725) / 1
LCM(30708,30725) = 943503300 / 1
LCM(30708,30725) = 943503300

Least Common Multiple (LCM) of 30708 and 30725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30708 and 30725. First we will calculate the prime factors of 30708 and 30725.

Prime Factorization of 30708

Prime Factorization of 30725

Now multiplying the highest exponent prime factors to calculate the LCM of 30708 and 30725.

LCM(30708,30725) = 2² × 3² × 853¹ × 5² × 1229¹
LCM(30708,30725) = 943503300